geometries.plane_grating#

Plane Geometry

The Plane geometry represents an infinite plane in two dimensions. The surface is defined as an XY plane with z=0 for all points. Recall that surfaces are always defined in the local coordinate system of the geometry.

Kramer Harrison, 2024

Classes

PlaneGrating(coordinate_system, ...)

An infinite plane geometry.

class PlaneGrating(coordinate_system, grating_order, grating_period, groove_orientation_angle)[source]#

An infinite plane geometry.

Parameters:: cs (CoordinateSystem) – The coordinate system of the plane geometry.

distance(rays)[source]#

Find the propagation distance to the plane geometry.

Parameters:: rays (RealRays) – The rays for which to calculate the distance to the plane.
Returns:: An array of propagation distances from each ray’s current position to the plane along the ray’s direction.
Return type:: be.ndarray

flip()[source]#

Flip the geometry.

For a plane, this operation does nothing as its geometry is unchanged by flipping.

classmethod from_dict(data)[source]#

Create a plane geometry from a dictionary.

Parameters:: data (dict) – The dictionary representation of the plane geometry.
Returns:: An instance of the Plane geometry.
Return type:: Plane

globalize(rays)#

Convert rays from the local coordinate system to the global coordinate system.

Parameters:: rays (RealRays) – The rays to convert.

grating_vector(rays)[source]#

Calculate the surface normal of the geometry at the given points.

Parameters:: rays (RealRays) – The rays, positioned at the surface, for which to calculate the surface normals.
Returns:: The x, y, and z components of the grating vectors.
Return type:: tuple[be.ndarray, be.ndarray, be.ndarray]

localize(rays)#

Convert rays from the global coordinate system to the local coordinate system.

Parameters:: rays (RealRays) – The rays to convert.

sag(x=0, y=0)[source]#

Calculate the surface sag of the plane geometry.

Parameters:

x (float or be.ndarray, optional) – The x-coordinate(s) of the point(s) on the plane. Defaults to 0.
y (float or be.ndarray, optional) – The y-coordinate(s) of the point(s) on the plane. Defaults to 0.

Returns:

The surface sag of the plane at the given point(s), which is always 0.

Return type:

be.ndarray or float

scale(scale_factor: float)[source]#

Scale the geometry parameters.

Parameters:: scale_factor (float) – The factor by which to scale the geometry.

set_radius(value: float) → None#

Set the radius of curvature.

Parameters:: value (float) – The new radius of curvature.
Raises:: AttributeError – If the geometry type does not support setting a radius.

surface_normal(rays)[source]#

Find the surface normal of the plane geometry at the given points.

Parameters:: rays (RealRays) – The rays, positioned at the surface, for which to calculate the surface normal. This argument is used to determine the shape of the output arrays.
Returns:: A tuple containing three arrays (nx, ny, nz) representing the x, y, and z components of the surface normals. For a plane z=0 in local coordinates, this will be (0, 0, 1) for all points, broadcast to the shape of the input rays.
Return type:: tuple[be.ndarray, be.ndarray, be.ndarray]

to_dict()[source]#

Convert the plane geometry to a dictionary.

Returns:: The dictionary representation of the plane geometry.
Return type:: dict

update_normalization(semi_aperture: float) → None#

Update the normalization attributes of the geometry based on its defined normalization_mode (‘auto’ or ‘manual’). Base geometry generally does not maintain a normalization radius.

Parameters:: semi_aperture (float) – The current semi-aperture of the surface.